Statistical approach to dynamics of modulation instabilities in optic fibers. Classical case

Authors

Mukhayo Yu. Rasulova, Institute of Nuclear Physics, Academy of Sciences of Uzbekistan, Tashkent, 100214, Republic of UzbekistanFollow

Author Country (or Countries)

Republic of Uzbekistan

Abstract

In the present paper, we prove equality of the wave equation for Modulation Instability and Vlasov kinetic equation. On the basis of Bogolyubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy of classical kinetic equations, the kinetic equations for any number of Modulation Instabilities are defined and the method a solution for these equations is proposed.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/160305

Recommended Citation

Yu. Rasulova, Mukhayo (2022) "Statistical approach to dynamics of modulation instabilities in optic fibers. Classical case," Applied Mathematics & Information Sciences: Vol. 16: Iss. 3, Article 5.
DOI: http://dx.doi.org/10.18576/amis/160305
Available at: https://digitalcommons.aaru.edu.jo/amis/vol16/iss3/5